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2 years ago

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Cristine's middle school has a total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teach

er ratio proportional to the middle school's. How many students will Cristine find when she gets to high school? A) 900 B) 1100 C) 2200 D) 2500

2 answers:

frozen [14]2 years ago

8 0

Write and solve an equation of ratios:

900 students 45 teachers
------------------ = -----------------
x 110 teachers

Cross multiplying, we get (900)(110) / 45, or

so x = # of students in the high school = 2200 (answer)

morpeh [17]2 years ago

4 0

Answer:

Option C. 2200 is correct

Step-by-step explanation:

Number of teachers in middle school = 45

Number of students in middle school = 900

$\text{Ratio of students to teacher in middle school = }\frac{900}{45}$

Number of teachers in Local high school = 110

Let number of students in local high school = x

$\text{Ratio of students to teacher in local high school = }\frac{x}{110}$

But, according too the question, both the ratios are given proportional to each other.

⇒ Ratio of students to teacher in middle school = Ratio of students to teacher in local high school

$\implies \frac{900}{45}=\frac{x}{110}\\\\\implies x=\frac{110\times 900}{45}\\\\\implies x = 2200$

Hence, number of students required in the local high school = 2200

Therefore, Option C. 2200 is correct

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